OK, lets do this step by step. We can get to a dashboard button later. Walk before we run.
We can create a saved table to table import and run it to mass update records.
1. Make a formula checkbox field in your projects table called [False] with a formula of false.
2. Go to the table home page and then to import export and make an import form another table. Navigate to your same table that you are already on, as we are going to import the table into itself. Use the option to "Merge" as we do not want to create new projects. Set the merge field to be [Record ID#].
3. You can add in a filter where the project manager is the current user. nie "My Projects". if it does not offer up that as a choice, you will need ot create a formual checkbox field and filter where that formula fie3ld [is this MY Project] is checked.
3. Deselect all the fields which are being copied to Do Not Import. It does not actually hurt to map the same value into itself, but I prefer to do that if there are not too many fields.
4. For the checkbox field that you want unchecked map FALSE into it.
5. You can save the Import and observe its ID# in the URL. It will be ID=10 if it is the first one for that table.
6. You can run the import manually if you want to test it.
7. Make a Report of My Projects. Well you probably already have that report. Lets say it is qid=7.
8 Make a formula URL button to mass update MY projects ot false and redisplay the report.
The formula will be
var text ClearMyStars = urlroot() & "db/" & dbid() & "?act=API_RunImport&ID=10";
var text DisplayMyProjects = urlroot() & "db/" & dbid() & "?a=q&qid=7";
$ClearMyStars
& "&rdr=" & urlencode(DisplayMyProjects)
// the code above says to run the import and then run the report.
Put the button on the My Projects report and see if it works.
Once you get that working, you can make a similar URL formula button to clear all flags ands not just My flags.
I am not using apptokens in my examples, so either you will need to disable application tokens in your app properties or add in a line ot the URL formulas like
& "&apptoken=xxxxxxxxxxxxxxxx