claiming state-based unemployment insurance benefit, if one is eligible for it, does not normally constitute a public charge for immigration purposes.

USCIS will consider only public benefits listed in the rule, including: Supplemental Security Income; Temporary Assistance for Needy Families; Any federal, state, local, or tribal cash benefit programs for income maintenance (often called general assistance in the state context, but which may exist under other names); Supplemental Nutrition Assistance Program (formerly called food stamps); Section 8 Housing Assistance under the Housing Choice Voucher Program; Section 8 Project-Based Rental Assistance (including Moderate Rehabilitation); Public Housing (under the Housing Act of 1937, 42 U.S.C. 1437 et seq.); and Federally funded Medicaid (with certain exclusions)

it's not a public charge