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As an alternative to having a "personalized field," you could consider allowing players to choose a template, as it aligns with the concept. Red is a great color, but it doesn't quite capture the essence of a "personalized field." Alternatively, you could provide some bonuses when a player chooses a template, if offering a full template customization is too much.
The idea is excellent.
Even better, if a player playing on their own field can immediately:
1) choose a template
2) choose their own color
3) and be the first to make a move!