Japt, 12 bytes

ÐKj +U*1e3 i 

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This transpiles to the following JS:

new Date(K.j() + U * 1e3).i() 

where K.j() is the current time converted to milliseconds, U is the input, and .i() gets the year from the date constructor.

Japt, ¹² 10 bytes

ÐKj +Ue3)i 

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-2 bytes from AZTECCO.

This transpiles to the following JS:

new Date(K.j() + U * 1e3).i() 

where K.j() is the current time converted to milliseconds, U is the input, and .i() gets the year from the date constructor.