Regarding the house building programme projected by government, both Blue and red ties, the yearly build numbers around 300,000 units, will not accommodate the net migration population growth, that's on top of birth rate growth plus the general shift to less occupants per dwelling unit that has been happening in recent years.
Net migration summary taken from Statista.com, see link for detailed numbers.
Long-term migration figures in the UK 1964-2023
Published by D. Clark, Jul 3, 2024
In 2023, approximately 1.22 million people migrated to the United Kingdom, while 532,000 people migrated from the UK, resulting in a net migration figure of 685,000. There have consistently been more people migrating to the United Kingdom than leaving it since 1993 when the net migration figure was negative 1,000. Although migration from the European Union has declined since the Brexit vote of 2016, migration from non-EU countries accelerated rapidly from 2021 onwards. In the year to June 2023, 968,000 people from non-EU countries migrated to the UK, compared with 129,000 from EU member states.
Source:
https://www.statista.com/statistics/283287/net-migration-figures-of-the-united-kingdom-y-on-y/