Changing product names often and the effect on SERPS and Adwords

Hello! This question is about serps and changing product names on an ecommerce website twice in a year and how the serps and indexation affects starting an adwords campaign for brand searches.

A company manufactures air purification machines. A year ago the website was moved over to an ecommerce CMS. The redirects were done properly and at the same time the model names were changed.

For Example:
(these are fictitious names used as examples) :
original name-- Airmachine 2000 G (BECAME)= 1st name change-- AirM 2G


Of course, it took several months until the AirMachine2000 G pages were omitted from the
serps. At first, for example, a search for AirMachine 2000 G brought back both Airmachine 2000 G, meaning
the old pages and the new pages AirM 2G... and with time the new pages overtook the results
Just about three weeks ago, the model names were changed yet again.

So, taking the previous example
(original)AirMachine 2000 G=
(1st name change)= AirM 2G=
(2nd name change)=AirMach2GeeM

This name changing causes obvious dilemmas with the company's suppliers who need to change their website to adapt to the name changes. All redirects again were done properly. Right now, the website as far as the serps are concerned are at the stage where when you search for the original name AirMachine 2000 G...
then the 1st and 2nd names both show up in serps.... AirM2G and AirMAch2GeeM show up.

A (site:domain.com) search brings up a mix of both the 1st and second name
change as well..AirM 2G and AirMach2GeeM

The Question is : is this a bad time to begin adwords campaigns for this company and should it wait and if so then until when?

Thanks so much in advance for anyone who takes the time to answer this