How the heck can I get a damn house in this game??

[Rongway]

It doesn't look like anyone has asked this one yet, but...

Were you attempting to purchase a new plot?

When a plot becomes vacant, whether by auto-demolition or by voluntary release, an invisible lock out with a random timer is applied, where until this timer expires nobody may buy the plot outright. However, the plot is available for relocation if you already own a house.

So the first step to buying the house you want is to buy just any house, so that when a plot that you actually want opens up, you are eligible to relocate into it while the purchase lock is active. If a plot gets bought while the lock timer is still active, that means that another house opened up elsewhere. Find it, and you might be able to get that one once its lock expires.