Can the plane take off normally during thunder?

Yes.

In the past, planes could not take off in thundering weather, but now generally, planes can take off normally unless they fly to a very cold place or there are thunder and lightning and thick clouds. Thunder occurs because of thunderclouds, and today's airplanes are equipped with weather radars that can detect effective precipitation and huge energy. As long as the airplane takes off, it will be fine as long as it avoids those thunderclouds.

Thunder:

When it rains, some clouds in the sky are charged with positive electricity and some are charged with negative electricity. When the two types of clouds come together, they will discharge and emit very bright light. Bright lightning emits a lot of heat at the same time, causing the surrounding air to quickly heat up, expand, and make a loud sound. This is thunder.