The road connection they are currently working on to reopen seems to be not the one to the east, but the one to the south.

References:

(Spanish) https://www.eltime.es/politica/185-instituciones/37517-una-excavadora-abre-camino-hasta-un-islote-con-viviendas-e-invernaderos-en-medio-del-campo-de-coladas.html
(See especially the green arrows in picture at top right – short arrow pointing west, long arrow pointing south)

(English) https://twitter.com/efadi_LP/status/1480477312613244931/photo/1