nooooooo! That would be very bad. Do not bring the painted item inside right away due to off-gassing.
EDIT- Although my answer remains the same, when I first read your post, I thought you wanted to paint in the bedroom with your bird. Nevertheless, having worked with turpentine and paints, I can attest to the strong chemical odor and it is not safe while your bird is around. Air in a home circulates under doors and the risk is just not worth it to me.
EDIT2: Be very sure that no remnants of the chemicals remain on your hands when you come back in and interact with the bird.
Senegal Parrot named "Kane"; Yellow-Sided Green Cheek Conure named "Bowie"; Blue Quaker Parrot named "Lita Ford"; Cockatiel named "Duff"; 8 American/English Budgie Hybrids; Ringneck Dove named "Dylan"
Oh my no! Do not ever use any type of pain or pain-thinners inside of the house with a bird, regardless of where the bird is located in the house, or how many doors are shut, what floor you're on, etc.! You must paint outside or in a garage or shed that is separate from the house! One whiff of paint/pain-thinner and your bird could die very quickly, and those fumes travel under doors/through door-cracks, up and down floors, etc. Certainly not at all worth the risk, same as having your bird anywhere inside the house/apartment while you're cooking with a non-stick pot/pan that has a Teflon coating...