Crossover anime/manga, immediately transmigrated after death

Zhang Yang transmigrated into a crossover anime world composed of slice-of-life series and enrolled at Shuchiin Academy.
He lives in Tokyo, is extremely wealthy, and is an orphan.
Let's set a small goal first: build a harem.
Unfortunately, his business failed halfway through, and he stumbled upon a stroke of good fortune while out and about.
The cheat ability awakens after death, allowing you to open a door to a new world after each death. You can actively travel to new worlds, with a seven-day cooldown period, but you can only return to the moment before you traveled to the new world.
Am I really going to hit the jackpot?
Arriving in World Two, I became a border resident of the Ming Empire, which seemed to be a martial arts world...
A naive young female warrior, a cold-faced but warm-hearted master, or a saintess who has been resurrected from the dead—none of these seem out of the question.
What is meant by the legendary martial arts master, Chi Yuan Zhenren?
Isn't this still anime/manga?
Wine carried on the rivers and lakes, swords remembered across the land.