Re: the 2023 2nds... I'm not sure where you're getting that ATL has three 2nds. I believe Atlanta only has two 2nds that year, one is protected and one is a swap.
https://basketball.realgm.com/nba/draft/future_drafts/detailed2023 second round draft pick from New Orleans
New Orleans' 2023 2nd round pick to Atlanta protected for selections 31-45 (if this pick falls within its protected range and is therefore not conveyed, then New Orleans' obligation to Atlanta will be extinguished) [Atlanta-New Orleans, 7/7/2019]
That one might or might not convey.
2023 second round draft pick from Charlotte or Brooklyn (second most favorable of these and Atlanta, swap, Atlanta outgoing to Philadelphia or Brooklyn)
Philadelphia will receive the most favorable of Atlanta's 2023 2nd round pick, Charlotte's 2023 2nd round pick and Brooklyn's 2023 2nd round pick and Atlanta will receive the second most favorable and Brooklyn will receive the least favorable of the three (via Atlanta's right to swap Atlanta or Charlotte for Brooklyn) [Atlanta-Charlotte, 6/21/2018; Atlanta-Brooklyn, 7/13/2018; Atlanta-Philadelphia, 7/7/2019]
Atlanta gets the middle pick of ATL/CHA/BRK. I have to think that will simply be ATL keeping their own pick.
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The 2nds are probably enough for House. Does Reddish have late 1st value? I'd lean yes but not 100% sure Houston feels the same way.