non compete signed in employer's contract but i have limited choices when it comes to company to work for

this is my first work, already here for 2 years. upon rereading my contract, hindi ako makaka apply sa competitor company or any company with same line of business for a year. the thing is, i am a civil engineer so restricted talaga ako sa construction industry.my current company has different departments and im not directly under the construction department (if this helps)

gusto ko rin sana magresign kapag may job offer na ako since ang hirap maghanap ng work sa construction industry and hindi kayang makahanap ng bago within a month. pero yun nga nabasa ko, need ko ng written agreement with my current company if lilipat ako sa same line of business.

the thing is, ik im under the contract but can i accept an offer? or should i ask for a written agreement first?