No heat, X5 30i

[imalabil]

Need help on my 2009 E70 30i, and I trust the forum!
- Lukewarm heat, took it to an foreign car indy in town
- Heat is fine at idle but when moving it gets cold
- Replaced heater control valve, no change
- Replaced thermostat, no change
- Replaced thermostat again (bad part suspected), no change
- Advised that radiator replaced by another shop is not the right one and that all hoses get cold after driving around.
- Radiator replaced by other shop was in August 2022 and I had heat in the winter of 2022 and 2023. P/N is APD 8013336
- Other shop advised an auxiliary water pump may have failed but I don't see one for my vehicle on RealOEM.

Am at my wit's end with this problem and don't know who to believe. When that happens - I TRUST XOUTPOST!