  We present infrared aperture masking interferometry (AMI) observations of
newly formed dust from the colliding winds of the massive binary system
Wolf-Rayet (WR) 137 with JWST using the Near Infrared Imager and Slitless
Spectrograph (NIRISS). NIRISS AMI observations of WR 137 and a
point-spread-function calibrator star, HD~228337, were taken using the F380M
and F480M filters in 2022 July and August as part of the Director's
Discretionary Early Release Science (DD-ERS) program 1349. Interferometric
observables (squared visibilities and closure phases) from the WR 137
"interferogram" were extracted and calibrated using three independent software
tools: ImPlaneIA, AMICAL, and SAMpip. The analysis of the calibrated
observables yielded consistent values except for slightly discrepant closure
phases measured by ImPlaneIA. Based on all three sets of calibrated
observables, images were reconstructed using three independent software tools:
BSMEM, IRBis, and SQUEEZE. All reconstructed image combinations generated
consistent images in both F380M and F480M filters. The reconstructed images of
WR 137 reveal a bright central core with a $\sim300$ mas linear filament
extending to the northwest. A geometric colliding-wind model with dust
production constrained to the orbital plane of the binary system and enhanced
as the system approaches periapsis provided a general agreement with the
interferometric observables and reconstructed images. Based on a colliding-wind
dust condensation analysis, we suggest that dust formation within the orbital
plane of WR 137 is induced by enhanced equatorial mass-loss from the rapidly
rotating O9 companion star, whose axis of rotation is aligned with that of the
orbit.
