PHP and MYSQL versions for Magento 1.9.4.0, 2.4.2-p1 and 2.4.4

I have 3 websites:

Website 1 still runs on Magento 1.9.4.
Websites 2 and 3 run on Magento 2.4.2-p1 which we are having terrible problems which I believe are because the Magento Migration Tool messed that up real good.

Now I asked our hosting company to install Magento 2.4.4 (first because it was not available in Softaculous immediately after release) and they have come back with the following:

I can see that in that ticket you requested us to install Magento 2.4.4.
As this version of Magento is now added to the Softaculous Apps Installer tool, I went ahead and tried to install the requested version through the Softaculous tool.

However, the following errors were encountered:
The following errors were found:

You can try installing the previous version of Magento by selecting from the “Choose Version” dropdown below

Required PHP version greater than equal to 8.1.0 AND found version is : 7.3.33

You can try installing the previous version of Magento by selecting from the “Choose Version” dropdown below

Required MYSQL version greater than equal to 8.0.0 AND found version is : 5.7.38
While we can easily upgrade the PHP version of the domain, the MySQL version upgrade is a bit more complicated as it would be upgraded for your whole server. The current MySQL version that you are using is 5.7 and if any of your existing applications are not compatible with MySQL version 8, then you risk having those application to break in order for the Magento 2.4.4 to be installed

In case you still want us to proceed and upgrade the MySQL version of your server with us – please submit a new ticket to our General Support department where my colleagues would be glad to upgrade the MySQL version of your server with us.

Is it really not possible to run these 3 Magento versions on one VPS hosting account? And what is my solution here? I need to get 2.4.4 up and running so that I can transfer customers, orders and products there from the 1.9.4 version and then I can close that down which would probably mean I could upgrade the whole server accordingly?