Stir chicken, salsa, broth, and all spices in the Instant Pot.
Cook on High Pressure for 12 minutes.
Let pressure drop 5 minutes, then quick release remaining steam.
Shred chicken; simmer cooking liquid on Sauté for 3 minutes to reduce.
Whisk in cream cheese until smooth; return chicken, lime juice, and cilantro.
Warm tortillas in a damp towel until pliable.
Heat oven to 425°F; lightly oil a rimmed baking sheet.
Fill each tortilla with chicken and a pinch of cheese; roll tightly.
Set seam-side down on the sheet; brush tops with oil.
Bake 12–15 minutes until crisp and golden. Serve immediately.