Resignation after being on furlough

Hello all,

back in may I was put back on furlough for 1 day per week with possibly staying on furlough until September, however this only lasted 5 weeks (2020 furloughed for 6 weeks)

during this time I was very concerned for my job security as a manager especially when told by the director we are fighting for our jobs, hence I started to look for other prospects to which I secured a new position in another company, my notice period is 3 months however due to furlough and lack of security I have only given 1 month.

can the company successfully sue me for breach of contract?

for information since giving my notice 

my meetings have gone from all day every day to 1 meeting per day

excluded from management meetings

i have already trained an individual to cover me when I leave