Strictly literary/written.
盖 here is the classical particle 'because/probably' (cf.
盖闻 'one hears that…'), and
因 means 'because'. The compound
盖因 is essentially a doubled 'because' for explanatory clauses in formal essays, news editorials, or legal documents. In speech use
因为 instead —
盖因 in conversation sounds pretentious.