F1 have rejected Andretti's application to join the grid next year or in 26 for the following reasons....
14. Our assessment process has established that the presence of an 11th team would not, on its own, provide value to the Championship. The most significant way in which a new entrant would bring value is by being competitive. We do not believe that the Applicant would be a competitive participant.
15. The need for any new team to take a compulsory power unit supply, potentially over a period of several seasons, would be damaging to the prestige and standing of the Championship.
16. While the Andretti name carries some recognition for F1 fans, our research indicates that F1 would bring value to the Andretti brand rather than the other way around.
17. The addition of an 11th team would place an operational burden on race promoters, would subject some of them to significant costs, and would reduce the technical, operational and commercial spaces of the other competitors.
18. We were not able to identify any material expected positive effect on CRH financial results, as a key indicator of the pure commercial value of the Championship.
Pretty damming. They were never going to let them in but to claim that the Andretti name only carries some recognition is laughable. Also, how can they claim that they wouldn't have been competitive? They've shown more commitment to that without joining than Haas have in 8 years on the grid!!
F1 have said that they are open to Andretti trying again with a view to joining in 2028 when they should have a GM engine ready to go by which point the teams will have upped the entry fee from £200m to £600m.