It depends.
Filing as a nonresident in Louisiana does not affect your status as Married Filing Jointly.
It simply means that you do not reside in Louisiana.
You can still file a joint return in Louisiana while filing as a nonresident.
You need to look at your intent. If you have set up a domicile in Virginia and no longer reside in Louisiana, you would file as a full year resident in Virginia. If your spouse lives in another state, then you may need to file using the Mixed Residency status.
Please see the attached link for more details as it applies to you.
Virginia residency status
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