Learn Danish: Pyt hvis du ikke kan overskue problemet, bliver vi bare hjemme. - Never mind, if you cannot manage the problem, we will just stay at home.

In this sentence, bare acts as a softener. Just like "just" in English ("we will just stay at home"), it lowers the stakes and removes pressure. It tells the other person that staying home is an easy, acceptable alternative, matching the relaxed vibe of pyt (never mind).

What exactly does the verb overskue mean in this context?

At overskue literally means "to survey" or "to overlook", but in everyday Danish, it means having the mental energy, time, or capacity to handle something. Saying you cannot overskue a problem means it feels too overwhelming or you just do not have the bandwidth to deal with it right now.

Why is the word order bliver vi instead of vi bliver?

This is the V2 (verb-second) rule in action. The sentence's main clause is pushed back by the entire "if" condition (hvis du ikke kan overskue problemet). Because that whole condition takes up the first position, the main verb bliver must come in the second position, directly before its subject vi.

Could I say bliver vi bare hjem instead of hjemme?

No, you must use hjemme. In Danish, hjem indicates movement towards your house (like going home), while hjemme is used when you are already there and not moving (like staying at home). Since you are staying (bliver), it has to be the stationary form hjemme.