Electricity for our KulTour bus

Dear community, I have already read here some articles on the topic of electricity, especially from the field of camping, but it is not yet so informative for me. Therefore I ask you my question, in the hope that here come some good ideas and solutions: Our association can use a Mercedes V220 CDi. At the end of the day the bus should become our KulTour bus, with which a small theatre troupe or musicians can go on tour. Now the idea came up in the association that it It would have to be possible to equip the bus in such a way that forest and meadow shows would also have to be possible. In such a way that the bus could provide the power supply for the theatre light and/or a small PA together with monitors for a small concert. We do not want to buy a DIY generator for transport/place reasons. Especially since an engine is already available on the bus. The bus would have to supply approx. 5KW of power to 230 volts for light/PA. If possible it would be especially great, we nn that would even work during the ride, so that we can take part in the “Carneval of Cultures” with a trailer (on which our actors are located) and the bus takes over the power supply for light and sound. Is this possible in principle? Is the engine able to generate the corresponding amount of electricity somehow? The voltage converters do not seem to be sufficient for this, since the alternator could not charge the battery quickly enough in the stand, What do you think?