“I am putting on my clothes." Help please

These are fine:
I am getting dressed. (Most commonly said in the morning after you get out of bed, or when you are getting ready to go to a party, etc..)
I am putting my clothes on. (Usually in a store's dressing room when you have finished trying on clothes you might buy, and you are putting on the clothes you wore into the store..)
I am putting on my clothes. (same as above.)

Excuse me! Teacher. What does it mean by "you are putting on the clothes you wore into the store.." According to your explanation. " I am getting dressed" (is not equal to) "I am putting on my clothes." right?Please “put on” your overcoat and go outside, it’s too cold. "I mean “put on” This verb phrase as above can’t be used in progressive form? If I use them in progressive form will cause a

OK. When I go to a clothing store, and want to buy a dress. I don't just buy the dress.. I take the dress into the store's dressing room, take off the clothes I wore to the store and put on the dress to see how it fits. Then I take off the store's dress, put on my own clothes, and either buy the dress or put it back.

No one goes naked to a clothing store!

Another common use: The

Thanks a lot ! My Dear teacher.