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I think the answer is yes, sorry.  Nothing changes for that.  You always pay tax on the gross amount in box 1 of the W2.  Box 1 includes the SS wages and Medicare wages in boxes 3&5.  

 

And part of your Social Security benefits might be taxable too.   Up to 85% of Social Security becomes taxable when all your other income plus 1/2 your social security, reaches:

Married Filing Jointly: $32,000

Single or head of household: $25,000

Married Filing Separately: 0