Yes, she finds him and tends to his wounds there
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Katniss finds Peeta near a stream, camouflaged in the ground.
Haymitch's second instruction for Peeta and Katniss are to find water.
Katniss is unsure about how she truly feels about Peeta (what is real and what is part of their act) which upsets Peeta. Katniss tells Peeta that "[t]he closer we get to District Twelve, the more confused I get".
they use peeta to find her because he lies and leads them away from her
That Peeta has teamed up with the Careers and is helping them find her and kill her.