Yes it is soldered to the logic board.

Re-flow is a "shade tree fix" it may work, may not work. If it works it may work for just a little while or for quite a while.

A DIY re-flow is risky - one person here recently baked a logic board in an oven and had components fall off! Since they had no pictures they had no clue where the parts came off.

A "professional" repair or re-flow from a service on e-bay is a different animal... but only you can do the cost analysis .

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