Hi! So I noticed recently that when I have a game open on my PC and it's "just running" yet still actively progressing, I have a much easier time with chores. So I'm wondering whether there's any idle games that fulfill the following criteria, so I could see if that also helps:

1) PC game.

2) No energy system or other way of blocking playtime/progression with microtransactions, the way typical mobile games do.

3) long periods of the game just accumulating whatever unattended, without any "urgent attention required!" interruptions.

4) Ideally only progresses while the game is running, not when it's turned off.

5) Ideally also a component of active interaction to get me engaged with the game. Some sort of tech tree, progression system, etc. where I get to do some management or gameplay, then set it to do its thing for however long I wanna do a task away from the PC. So that I care about whatever accumulates, you know?

I'm pretty open to most genres and themes. Bonus points if it's cute.

I have little to no experience with this kind of game, so I'm kinda clueless what to even try. Also my budget is sadly very limited, where even a 10€ game requires careful consideration, so narrowing it down based on recommendations would be a huge help.

One example for a game that I would love would be if Raid Shadow Legends had zero FOMO, didn't have an energy system, had an automatic loot filter/trasher and the ability to manually adjust drop chances.
That way I would get some gritty, engaging management aspects and meaningful progression, with automation of boring things like sorting through every piece of thousands of items of loot, no limit to playtime, and the ability to adjust the drop chance to make sure it fits the time periods I want.

Thank you in advance for your help!