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I’m having trouble getting battery out of its enclosure. From what I understend there is adhesive underneath but I’m a bit afraid to force it as I’m afraid enclosure would break.

Yes you have to be careful with those enclosures. It always looks simple on YouTube vids.  I have used isopropyl alcohol on similar devices with the battery packs having adhesive on them and the batteries usually come out without a problem.

no u don’t have to worried to much let me guild u with more info that will help Nvidia Shield Controller Teardown - iFixit