When Keynote is in Play, changes to any of the content on a slide, such as the values in a table, are unable to be made.
The workarounds I'v used are:
1 - Make a screen recording of the procedure using Quicktime Player (File > New Screen Recording)
Add the QuickTime file to Keynote at the appropriate slide
2 - Show Keynote in “edit “ mode, not in Play:
You can show the slide to look as if it is in Play mode by hiding the following:
View > Slide Only
View > Hide Toolbar (alt command T)
View > Inspector > Hide Inspector (alt command I)
View > Hide Rulers (command R)
View > Enter Full Screen (control command F)
Note that when in edit mode, builds and transition will not run
You can go from Play to edit and back to play at the appropriate times using the keyboard command: alt command P