Where there is a valid arbitration agreement, the court will direct the parties to arbitrate and the pending action is stayed, pursuant to to CPLR 7503(a). The arbitration itself should only be stayed when the only matter to be submitted to arbitration is clearly beyond the arbitrator's power. Where arbitrable and nonarbitrable claims are inextricably interwoven, the proper course is to stay judicial proceedings pending completion of the arbitration, particularly where.the determination of issues in arbitration may dispose of nonarbitrable matters.
Protostorm, Inc. v. Foley & Lardner LLP, NY Slip Op 02227 (1st Dep't April 8, 2021)