Is there any way to add text with "draw_text" and apply the same effect to it?
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A little late. Haven't tried it, but this sounds like a job for surfaces (sorry beginners... I also just learned how to use these properly).
Draw the text to a surface, turn that surface into a sprite, then draw that sprite that way.
Note that it sometimes creates a lag spike to create a sprite from a surface, so you may wanna figure out how to create these sprites from the beginning or a loading area.