A Study to Evaluate the Safety and Antiviral Activity of Two Human Monoclonal Antibodies (VRC07-523LS and PGT121.414.LS) During Analytic Treatment Interruption in Participants Living With HIV Who Initiated ART During Acute/Early HIV-1 Infection

Inclusion Criteria: * Ability and willingness of participant to provide informed consent. * Initiation of combination ART within 90 days of acute HIV diagnosis as defined by any of the criteria listed below: * A negative HIV Ab or HIV Ag/Ab Combination Assay and a detectable HIV-1 RNA (qualitative or quantitative) or a subsequently positive Western blot (WB) or equivalent HIV-1 confirmatory assay (e.g. Geenius assay) if no positive HIV-1 RNA test was available. * A positive HIV Ab or HIV Ag/Ab Combination Assay or p24 antigen test and a negative or indeterminate HIV confirmatory/differentiating test with a detectable HIV-1 RNA (qualitative or quantitative). * A positive HIV Ab or HIV-1 RNA or p24 antigen and positive WB or Geenius HIV-1/HIV-2 Supplemental Assay that is negative for p31 band. * Two different rapid HIV tests with discordant results followed by subsequently positive HIV serum antibody and/or HIV-1 RNA tests. * A positive HIV antibody test according to standard criteria obtained within 60 days after an initial negative or indeterminate HIV antibody, antigen, or nucleic acid amplification. * For women who are able to become pregnant, negative serum or urine pregnancy test within 48 hours prior to Step 1 entry. * All study candidates must agree not to participate in an assisted conception process (e.g., sperm donation, intrauterine insemination, in vitro fertilization) from the screening visit until 12 weeks after the final study visit. * Women who can become pregnant and are engaging in sexual activity that could lead to pregnancy must agree to use one highly effective method of contraception from Step 1 entry until 12 weeks after the final study visit. * Willingness to use barrier protection (male or female) during sexual activity during ATI and through confirmed viral resuppression. * Weight ≥50 kg and ≤150 kg at screening. * On stable suppressive ART for at least 12 months prior to Step 1 entry. No known ART interruption for longer than 14 days within 12 months prior to Step 1 entry. No more than two known ART interruptions of a duration between 14 and 60 consecutive days since initiation of ART. * ART regimens must contain a protease inhibitor (PI) or integrase strand transfer inhibitor (INSTI) as one of the active drugs in the ART regimen at the time of Step 1 entry. * CD4+ cell count of \>450 cells/mL obtained within 60 days prior to Step 1 entry. * Within 60 days prior to Step 1 entry, plasma HIV-1 RNA \< 50 copies/mL of plasma. * Plasma HIV-1 RNA \<50 copies/mL (or below the assay limit of quantification if the local assay limit of quantification is \>50 copies/mL) since initial viral suppression on ART and for at least 1 year prior to Step 1 entry. * Willingness to participate in an ATI. * The following laboratory values obtained within 60 days prior to Step 1 entry: * Absolute neutrophil count (ANC) ≥1000 cells/mm\^3 * Hemoglobin ≥12.0 g/dL for men and ≥11.0 g/dL for women * Platelet count ≥125,000/mm\^3 * Estimated glomerular filtration rate (eGFR) ≥60 mL/min/1.73 m\^2 calculated using the Chronic Kidney Disease Epidemiology Collaboration (CKD-Epi) 2021 equation * Total bilirubin \<1.5 x upper limit of normal (ULN) * Aspartate aminotransferase (AST) (SGOT) \<1.5 x ULN * Alanine aminotransferase (ALT) (SGPT) \<1.5 x ULN * Alkaline phosphatase \<1.5 x ULN * Hepatitis C virus (HCV) antibody negative result within 60 days prior to Step 1 entry or, for participants who are HCV antibody positive (based on testing performed at any time prior to Step 1 entry), a negative HCV RNA result obtained within 60 days prior to Step 1 entry. * Negative hepatitis B surface antigen (HBsAg) result obtained within 60 days prior to Step 1 entry. * Ability and willingness to restart ART following ATI according to study guidelines. * Completion of pre-entry leukapheresis or Large Volume Blood Draw (LVBD). Exclusion Criteria: * Breastfeeding or plans to become pregnant within the next 36 months. * Known allergy/sensitivity or any hypersensitivity to components of study treatment or its formulation. * Active drug or alcohol use or dependence that, in the opinion of the site investigator, would interfere with adherence to study requirements. * Receipt of any investigational vaccine within 6 months prior to Step 1 entry. * Receipt of any vaccine within 14 days prior to Step 1 entry. * Prior receipt of anti-HIV broadly neutralizing antibody therapy. * Prior receipt of a latency-reversing agent (LRA), whether licensed or investigational, unless reviewed and approved by the study's CMC. * AIDS-defining illness or opportunistic infection within 24 months prior to Step 1 entry. * Any clinically significant acute or chronic medical condition (such as autoimmune diseases), other than HIV infection, that in the opinion of the investigator would preclude participation. * Any history of an HIV-associated malignancy, including Kaposi's sarcoma and any type of lymphoma, or virus-associated cancers. * History of progressive multifocal leukoencephalopathy (PML). * Active or recent non-HIV-associated malignancy requiring systemic chemotherapy or surgery within 36 months prior to Step 1 entry or for whom such therapies are expected in the subsequent 12 months. * Receipt of cabotegravir-LA intramuscular (IM) or rilpivirine-LA IM or lenacapavir (SQ) within 24 months prior to Step 1 entry. * Resistance to one or more drugs in two or more ARV drug classes. * History of systemic corticosteroids (long-term use), immunosuppressive anti-cancer or other immunosuppressive agents, interleukins, systemic interferons, systemic chemotherapy, or other medications considered significant by the investigator within the 6 months prior to Step 1 entry. * History of or current clinical atherosclerotic cardiovascular disease (ASCVD), as defined by 2013 ACC/AHA guidelines, including a previous diagnosis of any of the following: * Acute myocardial infarction * Acute coronary syndromes * Stable or unstable angina * Coronary or other arterial revascularization * Stroke * Transient ischemic attack * Peripheral arterial disease presumed to be of atherosclerotic origin * For participants aged ≥40: 10-year ASCVD risk score estimated by Pooled Cohort Equations \>20% within 60 days prior to Step 1 entry. * Acute or serious illness requiring systemic treatment and/or hospitalization within 60 days prior to Step 1 entry.