GRB 210411***A***, Swift-BAT refined analysis <somebody goes first> <add the BA alphabetically> S. D. Barthelmy (GSFC), H. A. Krimm (NSF), S. Laha (GSFC/UMBC), A. Y. Lien (U Tampa), C. B. Markwardt (GSFC), D. M. Palmer (LANL), T. Parsotan (GSFC/UMBC), T. Sakamoto (AGU), M. Stamatikos (OSU) (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 210411***A*** (trigger #1042398) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 296.599, -39.401 deg which is RA(J2000) = 19h 46m 23.8s Dec(J2000) = -39d 24' 04.5" with an uncertainty of 1.0 arcmin, (radius, sys+stat, 90% containment). The partial coding was 79%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 12.8 +- 0.6 sec (estimated error including systematics). The time-averaged spectrum from T-0.4 to T+14.4 sec is best fit by a power law with an exponential cutoff. This fit gives a photon index 1.62 +- 0.48, and Epeak of 14.4 +- 10.8 keV (chi squared 56.45 for 56 d.o.f.). For this model the total fluence in the 15-150 keV band is 1.2 +- 0.1 x 10^-06 erg/cm2 and the 1-sec peak flux measured from T+3.87 sec in the 15-150 keV band is 4.8 +- 0.3 ph/cm2/sec. A fit to a simple power law gives a photon index of 2.61 +- 0.09 (chi squared 73.23 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/1042398/BA/