Can the plane take off when it rains heavily?

rainy day: ordinary rain has no effect on the take-off of the plane. Lightning weather may affect the take-off. If the minefield is near the runway, it can't take off.

if the accumulated water on the runway exceeds 3mm, the plane can't take off.

There are also the following weather conditions that affect the plane's take-off: heavy snow, icy runway. There is a strong wind on the side, probably exceeding 18 m/s (I can't remember the specific data).

The standard of foggy days is related to the runway grade of the airport. Generally, the visibility is required to be above 4 meters for takeoff and above 5 meters for landing.