Paper isn't your only problem, you should also use printing method which can produce rich enough colors which do not get bleak or detoriate otherwise too soon. The paper must be archive quality one without usual color eating chemicals.
People who try to earn money with printed copies of art have about 30 years ago started to call capable enough printing methods Giclee Printing. Originally it was a business name, but today it means printing with inkjet printer. The printer uses pigment colors, ordinary CMYK printing isn't colorful enough. The paper is up to the task. It doesn't suck the inks nor disintegrate the color chemically.
Search for Giclee printing to read more. Start from this: https://tracylizottestudios.com/blog/2018/07/giclee-print-vs-digital-print-which-is-better
Unfortunately we cannot recommend here commercial services, but it's not expensive to make a test run to see if one prints well enough. Direct sunlight or a solarium lamp should reveal quite soon if the colors fade in light.
Many of us surely have seen movie "The ultimate disaster movie" where Mr. Bean makes a famous painting (=Whistler's Mother) dirty, cleans it but removes also the paint. Restoring it with a normal pen wasn't good enough, but Mr. Bean made a fully plausible replica by covering up a 1:1 poster with his improvised special varnish.
Covering up with a special varnish isn't fully a fiction. Giclee printing cannot create the 3D texture of brush strokes. To get that texture one can manually brush along the real stroke lines transparent but refractive enough and non-spreading material which recreates the thickness of the strokes to some degree. You'll find easily several receipes how to use acrylic gel for that purpose. This is one: https://www.youtube.com/watch?v=u2FdBGf_3Us It contains many tricks for making printed copies to look unique and generally being more than only prints.
I guess one must be quite patient and know something of real painting (unlike Mr. Bean) to get plausible results.