How to indicate colors in InDesign and Illustrator now that Adobe no longer supports Pantone

Remember that spot colors for printing are more or less irrelevant to the actual color used within the app and the ink color eventually used. They simply define a print plate that will be used with the designated color ink on the press. You could call a color Ugly Betty, use a lime green fill color in InDesign, and still get a perfect pale orange print color as long as you designate the ink correctly. You don't have to have any precisedly defined color swatch or mix for it within the app.

Realistically/professionally, you should name the spot color rationally (PANTONE 324, etc.), use a color mix that is a close representation of it for the layout (156, 219, 217), and make sure the plate export carries a meaningful name for the printer — a PANTONE 324 slug will mean more and lead to far fewer errors than JOE'S PALE GREEN.

But Pantone swatches are entirely for designer convenience and, as long as the right spot color gets separated to the right plate and the printer knows what color ink to associate with that plate, are just a convenience, not a technical necessity.