US: Will my IRA still be protected from capital gains tax?

I have a question about IRAs in the US.
Are the following statements (usually) correct? (I’m confident that #1 and #2 are correct, mostly interested in #3.)
1. Capital gains on investments in my IRA receive better-than-usual tax treatment.
2. I cannot deduct my IRA contributions on my taxes if I also have a 401(k) and a high enough income.
3. Even if I meet the conditions in #2 and cannot deduct my IRA contributions, my IRA investments continue to get the favorable tax treatment in #1.