If you are at V2 +20 you are fine as the failure happened after V1 and V2 and you had two engines until then and are above the N-1 profile
A bit of caution needed. First, in a turn, the concern usually is obstacles to the side .. not below the aircraft. A concern with the turn is turn radius and how this fits in among the rocky bits. Too slow and you might hit an inside obstacle .. too fast, an outside one. Your escape procedure should talk about what speeds to fly ... you should fly speed in accordance with the procedure. It follows that the procedure designer should have made sure that the procedure technique is compatible with AFM requirements.