GRB 250424***A***, Swift-BAT refined analysis S. D. Barthelmy (GSFC), R. Gupta (GSFC), H. A. Krimm (NSF), S. Laha (GSFC/UMBC), A. Y. Lien (U Tampa), C. B. Markwardt (GSFC), M. J. Moss (GSFC), D. M. Palmer (LANL), T. Parsotan (GSFC), D. Sadaula (GSFC/UMBC), T. Sakamoto (AGU) (i.e. the Swift-BAT team): Using the data set from T-239 to T+600 sec from the recent telemetry downlink, we report further analysis of BAT GRB 250424***A*** (trigger #1306404) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 217.532, -35.025 deg which is RA(J2000) = 14h 30m 07.6s Dec(J2000) = -35d 01' 28.2" with an uncertainty of 1.0 arcmin, (radius, sys+stat, 90% containment). The partial coding was 39%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 18.6 +- 0.7 sec (estimated error including systematics). The time-averaged spectrum from T-38.7 to T+17.2 sec is best fit by a power law with an exponential cutoff. This fit gives a photon index 1.58 +- 0.11, and Epeak of 120.4 +- 39.6 keV (chi squared 35.20 for 56 d.o.f.). For this model the total fluence in the 15-150 keV band is 3.2 +- 0.0 x 10^-05 erg/cm2 and the 1-sec peak flux measured from T-14.85 sec in the 15-150 keV band is 47.2 +- 1.3 ph/cm2/sec. A fit to a simple power law gives a photon index of 1.79 +- 0.03 (chi squared 46.92 for 57 d.o.f.). All the quoted errors are at the 90% confidence level. The results of the batgrbproduct analysis are available at http://gcn.gsfc.nasa.gov/notices_s/1306404/BA/