You enter your W-2 exactly as it appears. Since you live in LA, you will have to file a LA state tax return.
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Resident taxpayers who are required to file a federal individual income tax return are required to file a Louisiana income tax return, IT-540, reporting all of their income. If a Louisiana resident earns income in another state, that income is also taxable by Louisiana.
As a resident taxpayer, you are allowed a credit on Schedule G for the net tax liability paid to another state if that income is included on the Louisiana return.