GRB 240421***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+963 sec from the recent telemetry downlink, we report further analysis of BAT GRB 240421***A*** (trigger #1223470) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 299.687, -14.869 deg which is RA(J2000) = 19h 58m 45.0s Dec(J2000) = -14d 52' 07.4" with an uncertainty of 1.3 arcmin, (radius, sys+stat, 90% containment). The partial coding was 4%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 12.4 +- 2.6 sec (estimated error including systematics). The time-averaged spectrum from T-7.1 to T+8.0 sec is best fit by a power law with an exponential cutoff. This fit gives a photon index 0.37 +- 0.50, and Epeak of 76.8 +- 13.0 keV (chi squared 57.22 for 56 d.o.f.). For this model the total fluence in the 15-150 keV band is 5.3 +- 0.4 x 10^-06 erg/cm2 and the 1-sec peak flux measured from T-0.06 sec in the 15-150 keV band is 19.4 +- 1.8 ph/cm2/sec. A fit to a simple power law gives a photon index of 1.54 +- 0.10 (chi squared 77.64 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/1223470/BA/